Design & Analysis of Algorithms

Exploring computational efficiency through advanced problem-solving techniques

This portfolio documents my journey through the rigorous Design and Analysis of Algorithms course, where I transformed theoretical concepts into practical implementations.

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Portfolio Introduction

Welcome to my comprehensive algorithm design portfolio. This collection represents months of intensive study and practical implementation of advanced computational techniques that form the foundation of efficient software systems.

Through this course, I've developed a systematic approach to problem-solving that emphasizes:

  • Rigorous complexity analysis
  • Strategic algorithm selection
  • Optimization techniques
  • Real-world implementation
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Algorithms Mastered
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Lab Experiments
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Paradigms Explored
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Hours of Coding
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Key Competencies Gained

Performance Analysis

Developed expertise in evaluating time and space complexity using Big-O notation, enabling precise prediction of algorithm behavior at scale.

Algorithm Selection

Mastered the strategic selection of appropriate algorithmic approaches based on problem constraints and requirements.

Creative Problem-Solving

Cultivated the ability to approach complex problems with innovative solutions using various algorithm design techniques.

Optimization

Gained skills in refining algorithms for maximum efficiency through careful analysis and iterative improvement.

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Algorithm Paradigms

Divide & Conquer Approach

Mastered the art of breaking complex problems into smaller, more manageable subproblems, solving them recursively, and combining solutions.

  • Merge Sort: O(n log n) sorting with stable performance
  • Quick Sort: Efficient in-place sorting with O(n log n) average case
  • Binary Search: O(log n) search in sorted arrays
  • Strassen's Matrix Multiplication: Optimized matrix operations
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Dynamic Programming

Developed expertise in solving optimization problems by breaking them down into simpler subproblems and storing their solutions to avoid redundant calculations.

  • 0/1 Knapsack: Resource allocation optimization
  • Matrix Chain Multiplication: Optimal parenthesization
  • Longest Common Subsequence: String similarity analysis
  • Floyd-Warshall: All-pairs shortest paths in graphs
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Greedy Methods

Mastered algorithms that make locally optimal choices at each step with the hope of finding a global optimum, perfect for optimization problems with certain properties.

  • Huffman Coding: Optimal prefix codes for compression
  • Dijkstra's Algorithm: Shortest path in weighted graphs
  • Kruskal's & Prim's: Minimum spanning tree algorithms
  • Activity Selection: Optimal scheduling problems
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Backtracking

Explored systematic search techniques that incrementally build candidates to solutions, abandoning a candidate ("backtracking") as soon as it determines the candidate cannot be valid.

  • N-Queens Problem: Classic chess board constraint problem
  • Sudoku Solver: Constraint satisfaction implementation
  • Hamiltonian Path: Finding paths in graphs
  • Subset Sum: Finding subsets with specific properties
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Successfully Learned

E-Lab Progress Visualization

E-Lab Excellence

Java C++ Python

Completed all programming challenges with optimal solutions, demonstrating mastery of algorithm implementation and optimization techniques.

100% completion rate
Optimal solutions for all problems

Explore My Algorithm Implementations

Dive deeper into my practical applications of these concepts through detailed lab exercises and implementations.